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Short communications on the existence of touch points for first‐order state inequality constraints
Author(s) -
Seywald Hans,
Cliff Eugene M.
Publication year - 1996
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199612)17:5<357::aid-oca578>3.0.co;2-f
Subject(s) - a priori and a posteriori , mathematics , inequality , state (computer science) , simple (philosophy) , first order , hamiltonian (control theory) , optimal control , order (exchange) , control (management) , mathematical optimization , control theory (sociology) , computer science , mathematical analysis , algorithm , artificial intelligence , epistemology , philosophy , finance , economics
The appearance of touch points in state‐constrained optimal control problems with general vector‐valued control is studied. Under the assumption that the Hamiltonian is regular, touch points for first‐order state inequalities are shown to exist only under very special conditions. In many cases of practical importance these conditions can be used to exclude touch points a priori without solving an optimal control problem. The results are demonstrated on a simple example.